Find the 10th term in each sequence 40, 10, 5/2, 5/8,...
1 answer:
9514 1404 393
Answer:
5/32768
Step-by-step explanation:
This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.
The general term of a geometric sequence is ...
an = a1·r^(n-1)
Then the 10th term is ...
a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768
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